A rigid slender bar, AB , is sliding against two mutually perpendicular frictionless walls, as shown in the figure below. The velocity of $A$ in the downward direction at a given instant is $6 \mathrm{~m} / \mathrm{s}$. At that instant, the magnitude of absolute velocity of the midpoint G is $\_\_\_\_$ $\mathrm{m} / \mathrm{s}$ (rounded off to 2 decimal places).

An offset slider-crank mechanism is shown in the figure below. The length of the stroke of the slider is ________ mm (rounded off to nearest integer).

At the instant when OP is vertical and AP is horizontal, the link OD is rotating counter clockwise at a constant rate ω = 7 rad/s. Pin P on link OD slides in the slot BC of link ABC which is hinged at A, and causes a clockwise rotation of the link ABC. The magnitude of angular velocity of link ABC for this instant is _________ rad/s (rounded off to 2 decimal places).

The figure shows a wheel rolling without slipping on a horizontal plane with angular velocity 𝜔₁. A rigid bar PQ is pinned to the wheel at P while the end Q slides on the floor.

What is the angular velocity 𝜔₂ of the bar PQ?